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Simplifying X + (x + 2) + (x + 4) + (x + 6) * 4x + 12 = 212 Reorder the terms: X + (2 + x) + (x + 4) + (x + 6) * 4x + 12 = 212 Remove parenthesis around (2 + x) X + 2 + x + (x + 4) + (x + 6) * 4x + 12 = 212 Reorder the terms: X + 2 + x + (4 + x) + (x + 6) * 4x + 12 = 212 Remove parenthesis around (4 + x) X + 2 + x + 4 + x + (x + 6) * 4x + 12 = 212 Reorder the terms: X + 2 + x + 4 + x + (6 + x) * 4x + 12 = 212 Reorder the terms for easier multiplication: X + 2 + x + 4 + x + 4x(6 + x) + 12 = 212 X + 2 + x + 4 + x + (6 * 4x + x * 4x) + 12 = 212 X + 2 + x + 4 + x + (24x + 4x2) + 12 = 212 Reorder the terms: 2 + 4 + 12 + X + x + x + 24x + 4x2 = 212 Combine like terms: 2 + 4 = 6 6 + 12 + X + x + x + 24x + 4x2 = 212 Combine like terms: 6 + 12 = 18 18 + X + x + x + 24x + 4x2 = 212 Combine like terms: x + x = 2x 18 + X + 2x + 24x + 4x2 = 212 Combine like terms: 2x + 24x = 26x 18 + X + 26x + 4x2 = 212 Solving 18 + X + 26x + 4x2 = 212 Solving for variable 'X'. Move all terms containing X to the left, all other terms to the right. Add '-18' to each side of the equation. 18 + X + 26x + -18 + 4x2 = 212 + -18 Reorder the terms: 18 + -18 + X + 26x + 4x2 = 212 + -18 Combine like terms: 18 + -18 = 0 0 + X + 26x + 4x2 = 212 + -18 X + 26x + 4x2 = 212 + -18 Combine like terms: 212 + -18 = 194 X + 26x + 4x2 = 194 Add '-26x' to each side of the equation. X + 26x + -26x + 4x2 = 194 + -26x Combine like terms: 26x + -26x = 0 X + 0 + 4x2 = 194 + -26x X + 4x2 = 194 + -26x Add '-4x2' to each side of the equation. X + 4x2 + -4x2 = 194 + -26x + -4x2 Combine like terms: 4x2 + -4x2 = 0 X + 0 = 194 + -26x + -4x2 X = 194 + -26x + -4x2 Simplifying X = 194 + -26x + -4x2
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